Rounding. Dependent rounding is useful. Negative correlation is useful. Near-independence used. Entropy maximization often yields useful distributions. Goal of this paper is to explore if entropy maximization can be used to obtain distributions with near-independence properties.

Queueing theory has provided the basis for remarkable successes in the performance modeling and analysis of computer systems.6,19,21 Because it is clear that computer systems do not satisfy assumptions made by the stochastic process models that are used, this success has been somewhat puzzling; it appears that queueing theory equations have wider applicability than is suggested by their classic...

(Jaynes’) Method of (Shannon-Kullback’s) Relative Entropy Maximization (REM or MaxEnt) can be at least in the discrete case according to the Maximum Probability Theorem (MPT) viewed as an asymptotic instance of the Maximum Probability method (MaxProb). A simple bayesian interpretation of MaxProb is given here. MPT carries the interpretation over into REM.

The maximum entropy method-used to infer probabilistic models from data-is a special case of Bayes's model inference prescription which, in turn, is grounded in basic propositional logic. By contrast to the maximum entropy method, the compatibility of nonadditive entropy maximization with Bayes's model inference prescription has never been established. Here we demonstrate that nonadditive entro...

We propose a framework in which query sizes can be estimated from arbitrary statistical assertions on the data. In its most general form, a statistical assertion states that the size of the output of a conjunctive query over the data is a given number. A very simple example is a histogram, which makes assertions about the sizes of the output of several range queries. Our model also allows much ...

Extensions of Conditioned Weak Law of Large Numbers and Gibbs conditioning principle two probabilistic results which provide a justification of the Relative Entropy Maximization (REM/MaxEnt) method to the case of multiple REM distributions are proposed. Also, their μ-projection (Maximum Probability) alternatives are introduced.